Yeah.
If you think Nature abhors a vacuum, you ain’t seen nuthin’ compared to how much she doesn’t like a hole in spacetime. That sucker’s gonna fill in fast and hard! 
To rephrase in a bad Chico Marx accent: Ya got-a da gahd-like powers, ya make-a da gahddam rules.
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Wikipedia on Vacuums:
European scholars such as Roger Bacon, Blasius of Parma and Walter Burley in the 13th and 14th century focused considerable attention on issues concerning the concept of a vacuum. The commonly held view that nature abhorred a vacuum was called horror vacui . There was even speculation that even God could not create a vacuum if he wanted and the 1277 Paris condemnations of Bishop Étienne Tempier, which required there to be no restrictions on the powers of God, led to the conclusion that God could create a vacuum if he so wished.
The answer depends on who owns the box, you or Pandora?
Let’s suppose that they are the same.
Let’s also suppose…like a perfect vaccuum or Absolute Zero…we cannot remove all of Spacetime from the box. It is an unreachable extreme.
But I have the “power” to subtract a significant quantity of spacetime from the box.
According to Special Relativity, spacetime is a rather flexible, stretchy field.
If I were to take a volume of spacetime merely an atom wide and forcefully stretch that volume to reach the inner walls of my human-scale macroscopic box, the inside of that box is going to “want” to be only one atom wide.
A small bit of spacetime…stretched wide and tight…pulling stuff from the periphery inward.
Is this description gravity?
OP, this is just like your box factory tour, isn’t it? ISN’T IT?
Is “nothing” the minimum, or is “nothing” like zero, just the middle point of infinity? Can you fill the box with something that’s less than nothing?
Antimatter?
A small black hole?
I guess you better make sure to label that box really well.
Here’s a tale of a box with a single mundane thing inside that later gets rather out of hand: Hair Dryer - What if? xkcd.com. Some better labeling on that thing early on may’ve saved the day. Oops.
If this makes your head hurt, consider that if you cut a piece of netting, it now has FEWER holes in it…
It’s like that old riddle… “What gets bigger the more you take away?”
A hole.
And I thought that physicists using spherical cows were stretching things…
Zero point energy has entered the chat.
I suppose that’s the physics nerd answer.
As a person with a dusty, disused science degree I beg to differ. If the wife says “recycle this box”, the box is empty. It doesn’t matter if it still contains air, quantum foam, or tangible objects, it’s empty, and it better not be sitting there tomorrow morning.
Your box has to be made of unobtainium too. Otherwise, as you keep removing things you make the vacuum stronger and the molecules of the box’s walls begin to migrate to fill the space. This will continue until there is no longer an identifiable box.
Is that similar to frictionless chickens?